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Simplifying 6(n + -8) + -3 = 7(8n + 7) Reorder the terms: 6(-8 + n) + -3 = 7(8n + 7) (-8 * 6 + n * 6) + -3 = 7(8n + 7) (-48 + 6n) + -3 = 7(8n + 7) Reorder the terms: -48 + -3 + 6n = 7(8n + 7) Combine like terms: -48 + -3 = -51 -51 + 6n = 7(8n + 7) Reorder the terms: -51 + 6n = 7(7 + 8n) -51 + 6n = (7 * 7 + 8n * 7) -51 + 6n = (49 + 56n) Solving -51 + 6n = 49 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -51 + 6n + -56n = 49 + 56n + -56n Combine like terms: 6n + -56n = -50n -51 + -50n = 49 + 56n + -56n Combine like terms: 56n + -56n = 0 -51 + -50n = 49 + 0 -51 + -50n = 49 Add '51' to each side of the equation. -51 + 51 + -50n = 49 + 51 Combine like terms: -51 + 51 = 0 0 + -50n = 49 + 51 -50n = 49 + 51 Combine like terms: 49 + 51 = 100 -50n = 100 Divide each side by '-50'. n = -2 Simplifying n = -2
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